How To Read And Do Proofs
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How To Read And Do Proofs
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Author : Daniel Solow
language : en
Publisher: Wiley
Release Date : 2009-12-08
How To Read And Do Proofs written by Daniel Solow and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-12-08 with Mathematics categories.
When engineers, computer scientists, and economists need to learn how to read, think about, and create proofs, they turn to Solow. In order to make the material more relevant, the exercises in each chapter have been revised and expanded. New and more complete discussions are included on how to use a previously-proved proposition in both the forward and backward processes. The fifth edition also presents new, self-contained chapters on uniqueness, induction, either/or, and max/min methods. Several final examples of how to read and do proofs are included in the final chapter to reinforce the reader’s knowledge of the various proof techniques.
How To Read And Do Proofs
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Author : Daniel Solow
language : en
Publisher: John Wiley & Sons
Release Date : 1982
How To Read And Do Proofs written by Daniel Solow and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Language Arts & Disciplines categories.
This straightforward guide describes the main methods used to prove mathematical theorems. Shows how and when to use each technique such as the contrapositive, induction and proof by contradiction. Each method is illustrated by step-by-step examples. The Second Edition features new chapters on nested quantifiers and proof by cases, and the number of exercises has been doubled with answers to odd-numbered exercises provided. This text will be useful as a supplement in mathematics and logic courses. Prerequisite is high-school algebra.
How To Prove It
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Author : Daniel J. Velleman
language : en
Publisher: Cambridge University Press
Release Date : 2006-01-16
How To Prove It written by Daniel J. Velleman and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-16 with Mathematics categories.
Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.
How To Read And Do Proofs
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Author : D. Solow
language : en
Publisher: Wiley
Release Date : 2003-06-10
How To Read And Do Proofs written by D. Solow and has been published by Wiley this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-06-10 with categories.
This book categorizes, identifies and explains the various techniques that are used repeatedly in all proofs and explains how to read proofs that arise in mathematical literature by understanding which techniques are used and how they are applied.
How To Read And Do Proofs
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Author : Solow
language : en
Publisher:
Release Date : 2013-10-18
How To Read And Do Proofs written by Solow and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-18 with categories.
Proofs From The Book
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Author : Martin Aigner
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Proofs From The Book written by Martin Aigner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.
Reading Writing And Proving
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Author : Ulrich Daepp
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-18
Reading Writing And Proving written by Ulrich Daepp and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-18 with Mathematics categories.
This book, based on Pólya's method of problem solving, aids students in their transition to higher-level mathematics. It begins by providing a great deal of guidance on how to approach definitions, examples, and theorems in mathematics and ends by providing projects for independent study. Students will follow Pólya's four step process: learn to understand the problem; devise a plan to solve the problem; carry out that plan; and look back and check what the results told them.
Mathematical Proofs
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Author : Gary Chartrand
language : en
Publisher: Pearson
Release Date : 2013
Mathematical Proofs written by Gary Chartrand and has been published by Pearson this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Proof theory categories.
This book prepares students for the more abstract mathematics courses that follow calculus. The author introduces students to proof techniques, analyzing proofs, and writing proofs of their own. It also provides a solid introduction to such topics as relations, functions, and cardinalities of sets, as well as the theoretical aspects of fields such as number theory, abstract algebra, and group theory.
How To Read And Do Proofs
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Author : Student Books
language : en
Publisher:
Release Date : 2018-09-25
How To Read And Do Proofs written by Student Books and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-25 with Mathematics categories.
This book makes a great study guide for teaching undergraduate and graduate students how to read, understand, and do mathematical proofs. The approach that we take is to identify, and to explain (at the student's level) the various techniques that are often used repeatedly in all proofs.
How To Read And Do Proofs Now
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Author : Noah Ras
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2015-10-30
How To Read And Do Proofs Now written by Noah Ras and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-30 with categories.
When students need to learn how to read, think about, and create proofs, they turn to this book. New and more complete discussions are included on how to use a previously-proved proposition in both the forward and backward processes. Several final examples of how to read and do proofs are included in each chapter to reinforce the reader's knowledge of the various proof techniques.